1.) Find the area of the circle at the top ( A= pi x radius squared )
2.) radius is 5.55 (half of 11.1)
3.) A= pi x 5.55 squared
4.) area of circle =96.77
5.) multiply area of circle(96.77) by height (20)
6.) answer = 1935.38
9514 1404 393
Answer:
- cable length: 300.2 ft
- anchor distance: 193.0 ft
Step-by-step explanation:
The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.
Sin = Opposite/Hypotenuse
sin(50°) = (230 ft)/h
h = (230 ft)/sin(50°) ≈ 300.24 ft
The length of the cable must be about 300.2 feet.
__
Tan = Opposite/Adjacent
tan(50°) = (230 ft)/d
d = (230 ft)/tan(50°) ≈ 192.99 ft
The cable must be anchored about 193.0 ft from the tower.
Answer:
The histogram of the sample incomes will follow the normal curve.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
In this case the researches wants to determine the monthly gross incomes of drivers for a ride sharing company.
He selects a sample of <em>n</em> = 200 drivers and ask them their monthly salary.
As the sample selected is quite large, i.e. <em>n</em> = 200 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.
Thus, the histogram of the sample incomes will follow the normal curve.
Answer:
1) If it is spun 250 times, it will not land on W 207 times.
2) If it is spun 100 times, it will land on N 17 times (rounded up).
3) 1 out of 6
4) It has the same answer as 1) <em>(If it is spun 250 times, it will not land on W 207 times.)</em>
